11257792 has 56 divisors (see below), whose sum is σ = 27509216. Its totient is φ = 4451328.

The previous prime is 11257781. The next prime is 11257793. The reversal of 11257792 is 29775211.

11257792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11257793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4858 + ... + 6790.

It is an arithmetic number, because the mean of its divisors is an integer number (491236).

Almost surely, 2^11257792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11257792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13754608).

11257792 is an abundant number, since it is smaller than the sum of its proper divisors (16251424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11257792 is a wasteful number, since it uses less digits than its factorization.

11257792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1955 counting only the distinct ones).

The product of its digits is 8820, while the sum is 34.

The square root of 11257792 is about 3355.2633279670. The cubic root of 11257792 is about 224.1219573974.

The spelling of 11257792 in words is "eleven million, two hundred fifty-seven thousand, seven hundred ninety-two".